Question

Can you form a triangle with side lengths of 3/8, 1 1/6 and 3/4?

Answer 1

Yes; Find the range for the measure of the third side of a triangle given the measures of two sides.

Answer 2

No

Explanation:

for the sides to form a triangle then the sum of any 2 must be greater than the third.

`(3)/(8)` , 1
`(1)/(6)` ,
`(3)/(4)` ( change 1
`(1)/(6)` into an imprioper fraction )

`(3)/(8)` ,
`(7)/(6)` ,
`(3)/(4)`

rewrite each fraction with a denominator of 24 ( the LCM of 8,6,4 )

This will allow the fractions to be compared more easily.

`(9)/(24)` ,
`(28)/(24)` ,
`(18)/(24)`

`(9)/(24)` +
`(28)/(24)` =
`(37)/(24)` >
`(18)/(24)`

`(28)/(24)` +
`(18)/(24)` =
`(46)/(24)` >
`(9)/(24)`

`(9)/(24)` +
`(18)/(24)` =
`(27)/(24)` <
`(28)/(24)`

the condition is not met for the 3 sides , so they do not form a triangle.